Geodesic
Existence of nonzero solutions for a class of damped vibration problems with impulsive effects
Applications of Mathematics, Tome 59 (2014) no. 2, pp. 145-165.

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In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result.
DOI : 10.1007/s10492-014-0046-6
Classification : 34B37, 58E30
Keywords: impulsive problem; damped vibration problem; variational method; critical point 
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     title = {Existence of nonzero solutions for a class of damped vibration problems with impulsive effects},
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Bai, Liang; Dai, Binxiang. Existence of nonzero solutions for a class of damped vibration problems with impulsive effects. Applications of Mathematics, Tome 59 (2014) no. 2, pp. 145-165. doi : 10.1007/s10492-014-0046-6. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0046-6/

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